Question

What is the volume of the rectangular pyramid round answer to nearest hundredth in decimal form up bright on the bottom base is 16 miles On the right side right on the base is another 16 miles and on the left side in the middle we had a 8 miles. What is the answer make sure the answer is in hundred and in decimal form.

Answer 1

[AI-generated answer — Bot GPT 3.5]

The volume of a rectangular pyramid is given by the formula V = (1/3) * base area * height.

First, we need to calculate the base area of the pyramid. Since the base is a rectangle with dimensions 16 miles by 16 miles, the base area is 16 * 16 = 256 square miles.

Next, we need to calculate the height of the pyramid. The height is the distance from the apex (top) of the pyramid to the center of the base. Since the center of the base is 8 miles from the left side, the height can be calculated using the Pythagorean theorem: h^2 = 16^2 - 8^2.

h^2 = 256 - 64
h^2 = 192
h = sqrt(192)
h ≈ 13.8564 miles

Now, we can calculate the volume of the pyramid:

V = (1/3) * 256 * 13.8564
V ≈ 1181.481
V ≈ 1181.48

Therefore, the volume of the rectangular pyramid is approximately 1181.48 cubic miles.